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## Shirokov, Maksim Evgen’evich

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 Author ID: shirokov.maksim-evgenevich Published as: Shirokov, M. E.; Shirokov, Maksim Evgen’evich; Shirokov, Maxim E.
 Documents Indexed: 54 Publications since 2001
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#### Co-Authors

 36 single-authored 11 Kholevo, Aleksandr Semënovich 3 Bulinskiĭ, Andreĭ Vadimovich 2 Amosov, Grigori G. 2 Protasov, Vladimir Yu. 2 Shul’man, Tat’yana Viktorovna 1 Bukhshtaber, Viktor Matveevich 1 Bulinskiĭ, Aleksandr Vadimovich 1 Chebotarev, Alexandr M. 1 Helemskii, Alexander Ya. 1 Ibragimov, Il’dar Abdullovich 1 Maslov, Viktor Pavlovich 1 Shiryaev, Al’bert Nikolaevich 1 Werner, Reinhard F.
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#### Serials

 10 Problems of Information Transmission 7 Russian Mathematical Surveys 5 Journal of Mathematical Physics 5 Mathematical Notes 5 Sbornik: Mathematics 5 Izvestiya: Mathematics 4 Communications in Mathematical Physics 4 Theory of Probability and its Applications 3 Lobachevskii Journal of Mathematics 2 Quantum Information Processing 1 Reports on Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 45 Quantum theory (81-XX) 38 Information and communication theory, circuits (94-XX) 14 Functional analysis (46-XX) 11 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH

38 Publications have been cited 152 times in 89 Documents Cited by Year
Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013
Holevo, A. S.; Shirokov, M. E.
2006
The Holevo capacity of infinite dimensional channels and the additivity problem. Zbl 1115.81017
Shirokov, M. E.
2006
On Shor’s channel extension and constrained channels. Zbl 1080.81005
Holevo, A. S.; Shirokov, M. E.
2004
Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020
Holevo, A. S.; Shirokov, M. E.
2010
Entropy characteristics of subsets of states. I. Zbl 1136.82003
Shirokov, M. E.
2006
On the concept of entanglement in Hilbert spaces. Zbl 1098.47019
Werner, R. F.; Kholevo, A. S.; Shirokov, M. E.
2005
Measures of correlations in infinite-dimensional quantum systems. Zbl 1366.81106
Shirokov, Maxim E.
2016
Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels. Zbl 1373.81431
Shirokov, M. E.
2017
On superactivation of zero-error capacities and reversibility of a quantum channel. Zbl 1310.81043
Shirokov, M. E.; Shulman, Tatiana
2015
Continuity of the von Neumann entropy. Zbl 1205.47021
Shirokov, M. E.
2010
On channels with positive quantum zero-error capacity having vanishing $$n$$-shot capacity. Zbl 1327.81098
Shirokov, M. E.
2015
Squashed entanglement in infinite dimensions. Zbl 1338.81078
Shirokov, M. E.
2016
On quantum zero-error capacity. Zbl 1397.94039
Shirokov, M. E.
2015
On properties of the space of quantum states and their application to the construction of entanglement monotones. Zbl 1210.46056
Shirokov, M. E.
2010
Generalized compactness in linear spaces and its applications. Zbl 1183.46003
Protasov, V. Yu; Shirokov, M. E.
2009
Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy. Zbl 1422.81064
Shirokov, M. E.
2019
Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use. Zbl 1398.81043
Shirokov, M. E.
2018
On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements. Zbl 1309.81051
Shirokov, M. E.; Shulman, T. V.
2014
On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040
Holevo, A. S.; Shirokov, M. E.
2013
Entropy reduction of quantum measurements. Zbl 1317.81016
Shirokov, M. E.
2011
Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887
Shirokov, M. E.; Holevo, A. S.
2019
On lower semicontinuity of the entropic disturbance and its applications in quantum information theory. Zbl 1381.81029
Shirokov, Maxim E.; Holevo, Alexander S.
2017
Reversibility of a quantum channel: general conditions and their applications to bosonic linear channels. Zbl 1284.81066
Shirokov, M. E.
2013
Stability of convex sets and applications. Zbl 1262.46005
Shirokov, M. E.
2012
Superadditivity of the convex closure of the output entropy of a quantum channel. Zbl 1151.81009
Shirokov, M. E.
2006
Regular semigroups of endomorphisms of von Neumann factors. Zbl 1029.46099
Amosov, G. G.; Bulinskiĭ, A. V.; Shirokov, M. E.
2001
Lower estimates for distances from a given quantum channel to certain classes of Quantum channels. Zbl 1426.81019
Shirokov, M. E.; Bulinski, A. V.
2019
On the energy-constrained diamond norm and its application in quantum information theory. Zbl 07213974
Shirokov, M. E.
2018
Uniform finite-dimensional approximation of basic capacities of energy-constrained channels. Zbl 1402.81074
Shirokov, M. E.
2018
On multipartite superactivation of quantum channel capacities. Zbl 1333.81088
Shirokov, M. E.
2015
Criteria for equality in two entropic inequalities. Zbl 1304.81053
Shirokov, M. E.
2014
Reversibility conditions for quantum channels and their applications. Zbl 1276.81029
Shirokov, M. E.
2013
Schmidt number and partially entanglement-breaking channels in infinite-dimensional quantum systems. Zbl 1271.81030
Shirokov, M. E.
2013
Conditions for coincidence of the classical capacity and entanglement-assisted capacity of a quantum channel. Zbl 1283.94037
Shirokov, M. E.
2012
On approximation of infinite-dimensional quantum channels. Zbl 1447.94014
Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich
2008
On properties of quantum channels related to their classical capacity. Zbl 1275.81018
Shirokov, M. E.
2008
On the strong CE-property of convex sets. Zbl 1142.94323
Shirokov, M. E.
2007
On the structure of optimal sets for a quantum channel. Zbl 1237.94039
Shirokov, M. E.
2006
Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy. Zbl 1422.81064
Shirokov, M. E.
2019
Energy-constrained diamond norms and quantum dynamical semigroups. Zbl 07150887
Shirokov, M. E.; Holevo, A. S.
2019
Lower estimates for distances from a given quantum channel to certain classes of Quantum channels. Zbl 1426.81019
Shirokov, M. E.; Bulinski, A. V.
2019
Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use. Zbl 1398.81043
Shirokov, M. E.
2018
On the energy-constrained diamond norm and its application in quantum information theory. Zbl 07213974
Shirokov, M. E.
2018
Uniform finite-dimensional approximation of basic capacities of energy-constrained channels. Zbl 1402.81074
Shirokov, M. E.
2018
Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels. Zbl 1373.81431
Shirokov, M. E.
2017
On lower semicontinuity of the entropic disturbance and its applications in quantum information theory. Zbl 1381.81029
Shirokov, Maxim E.; Holevo, Alexander S.
2017
Measures of correlations in infinite-dimensional quantum systems. Zbl 1366.81106
Shirokov, Maxim E.
2016
Squashed entanglement in infinite dimensions. Zbl 1338.81078
Shirokov, M. E.
2016
On superactivation of zero-error capacities and reversibility of a quantum channel. Zbl 1310.81043
Shirokov, M. E.; Shulman, Tatiana
2015
On channels with positive quantum zero-error capacity having vanishing $$n$$-shot capacity. Zbl 1327.81098
Shirokov, M. E.
2015
On quantum zero-error capacity. Zbl 1397.94039
Shirokov, M. E.
2015
On multipartite superactivation of quantum channel capacities. Zbl 1333.81088
Shirokov, M. E.
2015
On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements. Zbl 1309.81051
Shirokov, M. E.; Shulman, T. V.
2014
Criteria for equality in two entropic inequalities. Zbl 1304.81053
Shirokov, M. E.
2014
On classical capacities of infinite-dimensional quantum channels. Zbl 1271.81040
Holevo, A. S.; Shirokov, M. E.
2013
Reversibility of a quantum channel: general conditions and their applications to bosonic linear channels. Zbl 1284.81066
Shirokov, M. E.
2013
Reversibility conditions for quantum channels and their applications. Zbl 1276.81029
Shirokov, M. E.
2013
Schmidt number and partially entanglement-breaking channels in infinite-dimensional quantum systems. Zbl 1271.81030
Shirokov, M. E.
2013
Stability of convex sets and applications. Zbl 1262.46005
Shirokov, M. E.
2012
Conditions for coincidence of the classical capacity and entanglement-assisted capacity of a quantum channel. Zbl 1283.94037
Shirokov, M. E.
2012
Entropy reduction of quantum measurements. Zbl 1317.81016
Shirokov, M. E.
2011
Mutual and coherent information for infinite-dimensional quantum channels. Zbl 1241.94020
Holevo, A. S.; Shirokov, M. E.
2010
Continuity of the von Neumann entropy. Zbl 1205.47021
Shirokov, M. E.
2010
On properties of the space of quantum states and their application to the construction of entanglement monotones. Zbl 1210.46056
Shirokov, M. E.
2010
Generalized compactness in linear spaces and its applications. Zbl 1183.46003
Protasov, V. Yu; Shirokov, M. E.
2009
On approximation of infinite-dimensional quantum channels. Zbl 1447.94014
Shirokov, Maksim Evgen’evich; Holevo, Aleksandr Semenovich
2008
On properties of quantum channels related to their classical capacity. Zbl 1275.81018
Shirokov, M. E.
2008
On the strong CE-property of convex sets. Zbl 1142.94323
Shirokov, M. E.
2007
Continuous ensembles and the capacity of infinite-dimensional quantum channels. Zbl 1093.81013
Holevo, A. S.; Shirokov, M. E.
2006
The Holevo capacity of infinite dimensional channels and the additivity problem. Zbl 1115.81017
Shirokov, M. E.
2006
Entropy characteristics of subsets of states. I. Zbl 1136.82003
Shirokov, M. E.
2006
Superadditivity of the convex closure of the output entropy of a quantum channel. Zbl 1151.81009
Shirokov, M. E.
2006
On the structure of optimal sets for a quantum channel. Zbl 1237.94039
Shirokov, M. E.
2006
On the concept of entanglement in Hilbert spaces. Zbl 1098.47019
Werner, R. F.; Kholevo, A. S.; Shirokov, M. E.
2005
On Shor’s channel extension and constrained channels. Zbl 1080.81005
Holevo, A. S.; Shirokov, M. E.
2004
Regular semigroups of endomorphisms of von Neumann factors. Zbl 1029.46099
Amosov, G. G.; Bulinskiĭ, A. V.; Shirokov, M. E.
2001
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#### Cited by 75 Authors

 29 Shirokov, Maksim Evgen’evich 15 Kholevo, Aleksandr Semënovich 9 Amosov, Grigori G. 4 Kozyrev, Sergeĭ Vladimirovich 4 Volovich, Igor’ Vasil’evich 4 Wilde, Mark M. 3 Weis, Stephan 2 Datta, Nilanjana 2 Filippov, Sergey N. 2 Kuznetsova, A. A. 2 Kye, Seunghyeok 2 Leung, Debbie W. 2 Renner, Renato 2 Shul’man, Tat’yana Viktorovna 2 Teretenkov, Alexander E. 2 Winter, Andreas 2 Zhdanovskii, I. Yu. 1 Åberg, Johan 1 Aref’eva, Irina Yaroslavna 1 Barchielli, Alberto 1 Becker, Simon 1 Berta, Mario 1 Bikram, Panchugopal 1 Boche, Holger 1 Duan, Zhoubo 1 Fang, Xiaochun 1 Furrer, Fabian 1 García-Patrón, Raúl 1 Giovannetti, Vittorio 1 Gomoyunov, Mikhail Igorevich 1 Gour, Gilad 1 Haapasalo, Erkka Theodor 1 Hanson, Eric P. 1 Hirche, Christoph 1 Inozemcev, O. V. 1 Janßen, Gisbert 1 Jenčová, Anna 1 Junge, Marius 1 Kaur, Eneet 1 Kemp, Todd A. 1 Kribs, David W. 1 Kuramochi, Yui 1 Levick, Jeremy 1 Li, Xin 1 Liu, Liang 1 Lukoyanov, Nikolaĭ Yur’evich 1 Magadov, Kamil Yu 1 Mancini, Stefano 1 Mironov, A. A. 1 Mokeev, Aleksandr S. 1 Müller-Hermes, Alexander 1 Naaijkens, Pieter 1 Niu, Lifang 1 Osaka, Hiroyuki 1 Oskouei, Samad Khabbazi 1 Pellegrini, Clément 1 Pellonpää, Juha-Pekka 1 Pereira, Rajesh 1 Protasov, Vladimir Yu. 1 Reeb, David 1 Rodman, Leiba X. 1 Saeedinaeeni, Sajad 1 Sakbaev, Vsevolod Zhanovich 1 Smith, Graeme C. 1 Spitkovsky, Ilya M. 1 Spitkovsky, Ilya Matvey 1 Sunder, Viakalathur S. 1 Sutter, David 1 Szkoła, Arleta 1 Wang, Bin 1 Wang, Huifeng 1 Wang, Yangyang 1 Weis, Stephan 1 Xiao, Heling 1 Yu, Nengkun
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#### Cited in 25 Serials

 15 Journal of Mathematical Physics 12 Problems of Information Transmission 10 Communications in Mathematical Physics 4 Mathematical Notes 4 Reports on Mathematical Physics 4 Theoretical and Mathematical Physics 4 Lobachevskii Journal of Mathematics 4 Quantum Information Processing 3 Theory of Probability and its Applications 3 Journal of Mathematical Sciences (New York) 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Theoretical Physics 2 Letters in Mathematical Physics 2 Doklady Mathematics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Annales Henri Poincaré 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Turkish Journal of Mathematics 1 Sbornik: Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 20 Fields

 81 Quantum theory (81-XX) 56 Information and communication theory, circuits (94-XX) 20 Operator theory (47-XX) 17 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)